What are the mean and standard deviation of {115, 89, 230, -12, 1700}?

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Answer 1 · 2018-04-16T08:06:09

**Arithmetic Mean ** $~~ 424.4$

**Standard Deviation ** $~~ 642.44$

**Input Data Set: ** ${115, 89, 230, -12, 1700}$

**Arithmetic Mean ** $= (1/n) * Sigma (x_i)$ ,

where, $Sigma x_i$ refers to the Sum of all the elements in the Input Data Set.

$n$ is the total number of elements.

**Standard Deviation ** $sigma = sqrt[1/n*Sigma (x_i - bar x)^2)$

$Sigma (x_i - bar x)^2$ refers to the average of the squared differences from the Mean

Make a table of values as shown:

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Hence,

**Arithmetic Mean ** $~~ 424.4$

**Standard Deviation ** $~~ 642.44$

Hope it helps.